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Mixed-effects models are fundamental tools for analyzing clustered and repeated-measures data, but existing high-dimensional methods largely focus on penalized estimation with vector-valued covariates. Bayesian alternatives in this regime…

Methodology · Statistics 2026-02-24 Sreya Sarkar , Kshitij Khare , Sanvesh Srivastava

Experimental design is crucial for inference where limitations in the data collection procedure are present due to cost or other restrictions. Optimal experimental designs determine parameters that in some appropriate sense make the data…

Machine Learning · Statistics 2016-03-11 Panagiotis Tsilifis , Roger G. Ghanem , Paris Hajali

We study the problem of sequential experimental design to estimate the parametric component of a partially linear model with a Gaussian process prior. We consider an active learning setting where an experimenter adaptively decides which…

Methodology · Statistics 2022-11-07 Shunsuke Horii

Empirical Bayes (EB) improves the accuracy of simultaneous inference "by learning from the experience of others" (Efron, 2012). Classical EB theory focuses on latent variables that are iid draws from a fitted prior (Efron, 2019). Modern…

Methodology · Statistics 2025-12-24 Bohan Wu , Eli N. Weinstein , David M. Blei

Experimental (design) optimization is a key driver in designing and discovering new products and processes. Bayesian Optimization (BO) is an effective tool for optimizing expensive and black-box experimental design processes. While Bayesian…

Machine Learning · Computer Science 2024-02-28 Arun Kumar A , Alistair Shilton , Sunil Gupta , Santu Rana , Stewart Greenhill , Svetha Venkatesh

Computer experiments with both qualitative and quantitative factors are widely used in many applications. Motivated by the emerging need of optimal configuration in the high-performance computing (HPC) system, this work proposes a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-08 Xia Cai , Li Xu , C. Devon Lin , Yili Hong , Xinwei Deng

This article deals with the sequential design of experiments for (deterministic or stochastic) multi-fidelity numerical simulators, that is, simulators that offer control over the accuracy of simulation of the physical phenomenon or system…

Sequential Bayesian optimal experimental design (SBOED) for PDE-governed inverse problems is computationally challenging, especially for infinite-dimensional random field parameters. High-fidelity approaches require repeated forward and…

Optimization and Control · Mathematics 2026-01-12 Kaichen Shen , Peng Chen

Sequential algorithms are popular for experimental design, enabling emulation, optimisation and inference to be efficiently performed. For most of these applications bespoke software has been developed, but the approach is general and many…

Computation · Statistics 2021-10-18 Matthew A. Fisher , Onur Teymur , Chris. J. Oates

Bayesian optimization (BO) has gained attention as an efficient algorithm for black-box optimization of expensive-to-evaluate systems, where the BO algorithm iteratively queries the system and suggests new trials based on a probabilistic…

Machine Learning · Computer Science 2026-03-13 Eike Cramer , Luis Kutschat , Oliver Stollenwerk , Joel A. Paulson , Alexander Mitsos

We introduce Bayesian optimization, a technique developed for optimizing time-consuming engineering simulations and for fitting machine learning models on large datasets. Bayesian optimization guides the choice of experiments during…

Machine Learning · Statistics 2017-11-22 Peter I. Frazier , Jialei Wang

Traditional scientific discovery relies on an iterative hypothesise-experiment-refine cycle that has driven progress for centuries, but its intuitive, ad-hoc implementation often wastes resources, yields inefficient designs, and misses…

Bayesian optimization (BO) is an approach to globally optimizing black-box objective functions that are expensive to evaluate. BO-powered experimental design has found wide application in materials science, chemistry, experimental physics,…

Machine Learning · Computer Science 2023-10-10 Mimi Zhang , Andrew Parnell , Dermot Brabazon , Alessio Benavoli

Computer simulators can be computationally intensive to run over a large number of input values, as required for optimization and various uncertainty quantification tasks. The standard paradigm for the design and analysis of computer…

Computation · Statistics 2015-09-11 Joakim Beck , Serge Guillas

We describe a methodology for modeling the performance of decision-level data fusion between different sensor configurations, implemented as part of the JIEDDO Analytic Decision Engine (JADE). We first discuss a Bayesian network formulation…

Machine Learning · Statistics 2013-06-26 Gaurav Thakur

Bayesian Optimization is a useful tool for experiment design. Unfortunately, the classical, sequential setting of Bayesian Optimization does not translate well into laboratory experiments, for instance battery design, where measurements may…

Machine Learning · Computer Science 2023-02-24 Jose Pablo Folch , Robert M Lee , Behrang Shafei , David Walz , Calvin Tsay , Mark van der Wilk , Ruth Misener

Conventional Bayesian optimal experimental design seeks to maximize the expected information gain (EIG) on model parameters. However, the end goal of the experiment often is not to learn the model parameters, but to predict downstream…

Computation · Statistics 2024-08-20 Atlanta Chakraborty , Xun Huan , Tommie Catanach

The process of calibrating computer models of natural phenomena is essential for applications in the physical sciences, where plenty of domain knowledge can be embedded into simulations and then calibrated against real observations. Current…

Machine Learning · Computer Science 2025-01-20 Rafael Oliveira , Dino Sejdinovic , David Howard , Edwin V. Bonilla

Questions of `how best to acquire data' are essential to modeling and prediction in the natural and social sciences, engineering applications, and beyond. Optimal experimental design (OED) formalizes these questions and creates…

Methodology · Statistics 2026-05-01 Xun Huan , Jayanth Jagalur , Youssef Marzouk

We propose to use Bayesian optimization (BO) to improve the efficiency of the design selection process in clinical trials. BO is a method to optimize expensive black-box functions, by using a regression as a surrogate to guide the search.…

Methodology · Statistics 2021-05-20 Jakob Richter , Tim Friede , Jörg Rahnenführer